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arXiv · 1808.09845

Lagrangian subvarieties in the Chow ring of some hyperk\"ahler varieties

Robert Laterveer
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Abstract

Let $X$ be a hyperk\"ahler variety, and let $Z\subset X$ be a Lagrangian subvariety. Conjecturally, $Z$ should have trivial intersection with certain parts of the Chow ring of $X$. We prove this conjecture for certain Hilbert schemes $X$ having a Lagrangian fibration, and $Z\subset X$ a general fibre of the Lagrangian fibration.

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Robert Laterveer. 2018-08-28. Lagrangian subvarieties in the Chow ring of some hyperk\"ahler varieties. https://arxiv.org/abs/1808.09845

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